Answer:
There are 20,000 Beatles in the total population
Step-by-step explanation:
59 Beatles out of the 2,000 are marked (2.95% or 59/2000)
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1 / 0.0295 = 33.8983051
That means that the total population is 33.89 times larger than the 590 marked beatles.
33.8983051 x 590 = 20,0000 Beatles total
Answer:
where are the equations??
Step-by-step explanation:
You find a common denominator, for example, if you want to subtract 3/4 minus 1/2 you would have to multiply 1/2 by 2/2, which equals 2/4, then you can do 3/4-2/4, which is 1/4. Sorry if it’s a bit confusing, hope it helps!
If I remember correctly this is how you solve it.
f(x)=8x+6
f(-1)=8(-1)+6
f(-1)=-8+6
f(-1)= -2
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3